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Smoothness of Graph Energy in Chemical Graphs
Mathematics, 2023 The energy of a graph G as a chemical concept leading to HMO theory was introduced by Hückel in 1931 and developed into a mathematical interpretation many years later when Gutman in 1978 gave his famous definition of the graph energy as the sum of the ...
Katja Zemljič, Petra Žigert Pleteršek
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Protein-Protein Interactions Prediction Based on Graph Energy and Protein Sequence Information [PDF]
Molecules, 2020 Identification of protein-protein interactions (PPIs) plays an essential role in the understanding of protein functions and cellular biological activities. However, the traditional experiment-based methods are time-consuming and laborious.
Da Xu +4 more
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Beyond graph energy: norms of graphs and matrices [PDF]
Linear Algebra and its Applications, 2016 In 1978 Gutman introduced the energy of a graph as the sum of the absolute values of graph eigenvalues, and ever since then graph energy has been intensively studied.
Nikiforov, Vladimir
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Bounds on graph energy and Randic energy [PDF]
Discrete Mathematics Letters, 2021 Summary: In the present paper, new lower and upper bounds on energy and Randić energy of non-singular (bipartite) graphs are reported. Additionally, it is shown that the obtained lower bounds are stronger than two previously known lower bounds in the literature.
S. Burcu Bozkurt Altındag
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Modified reverse degree descriptors for combined topological and entropy characterizations of 2D metal organic frameworks: applications in graph energy prediction. [PDF]
Front ChemTopological descriptors are widely utilized as graph theoretical measures for evaluating the physicochemical properties of organic frameworks by examining their molecular structures.
Kalaam ARA, Greeni AB, Arockiaraj M.
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Open Journal of Discrete Applied Mathematics, 2021 The energy of a graph is the sum of absolute values of its eigenvalues. The nullity of a graph is the algebraic multiplicity of number zero in its spectrum.
I. Gutman
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Numerous graph energies of regular subdivision graph and complete graph
AIMS Mathematics, 2021 The graph energy E(G) of a simple graph G is sum of its absolute eigenvalues where eigenvalues of adjacency matrix A(G) are referred as eigenvalues of graph G. Depends upon eigenvalues of different graph matrices, several graph energies has been observed
Imrana Kousar +4 more
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Journal of Physics: Conference Series, 2022 Adjacency matrix A(G)=[aij] yields the graph energy, which is equal to the addition of absolute values of the eigenvalues G. This research investigates the energy graph class in terms of another graph class after removing a vertex.
S. G, J. Kavitha
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Journal for Research in Applied Sciences and Biotechnology, 2023 By given the adjacency matrix, laplacian matrix of a graph we can find the set of eigenvalues of graph in order to discussed about the energy of graph and laplacian energy of graph. (i.e. the sum of eigenvalues of adjacency matrix and laplacian matrix of
Najibullah Yousefi +2 more
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Oboudi-Type Bounds for Graph Energy [PDF]
Mathematics Interdisciplinary Research, 2019 The graph energy is the sum of absolute values of the eigenvalues of the (0, 1)-adjacency matrix. Oboudi recently obtained lower bounds for graph energy, depending on the largest and smallest graph eigenvalue. In this paper, a few more Oboudi-type bounds
Ivan Gutman
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